Answered

IDNLearn.com offers a unique blend of expert answers and community insights. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

Gilda walks to the train station. If she walks at the rate of 3 mph, she misses her train by 7 minutes. However, if she walks at the rate of 4 mph, she reaches the station 5 minutes before the arrival of the train. Find the distance Gilda walks to the station.

David knew he made a mistake when he calculated that Gilda walks 123 miles to the station. Read through David's calculations:Using d = rt, the distance is the same, but the rate and time are different.If Gilda misses the train, it means the time t needs 7 more minutes so d = 3(t + 7).If she gets to the station 5 minutes early means the time t can be 5 minutes less so d = 4(t - 5).3(t + 7) = 4(t - 5)3t + 21 = 4t - 20t = 41d = rt, so d = 3(41) = 123Find David's mistake in his calculations. In two or more complete sentences, explain his mistake. Include the correct calculations and solutions in your answer.

Sagot :

Ananda26idn
We'll represent the distance as d and the time as t. 
d= 3(t+7)            because Gilda is 7 minutes late when travelling 3 mph
d= 4(t-5)             because Gilda is 5 minutes early at 4 mph

d= 3t + 21
d= 4t -20
3t +21 =4t -20
41=t
d= 3(41) +21= 144
The distance is 144 miles. 
Kate200468idn
[tex]d=3(t + 7)\ \ \ if\ Gilda\ walks\ of\ 3mph\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ she\ is\ 7\ minutes\ after\ departure\ of\ the\ train\\\\ d= 4(t - 5)\ \ \ if\ Gilda\ walks\ of\ 4mph\ \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ she\ is\ 5\ minutes\ before\ the\ train\ \\\\3(t+7)=4(t-5)\\\\3t + 21 = 4t - 20 \\\\t = 41\ \ \ \Rightarrow\ \ \ d=3(t+7)=3\cdot(41+7)=3\cdot48=144\\\\Ans.\ The\ distance\ to\ the\ station\ is\ 144\ miles.[/tex]
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.